Finding the Fourth Proportional to 1,364.83, 1,883.47 and 775.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.83 : 1,883.47 = 775.37 : x
2. Step 2: Convert to fraction form
   1,364.83/1,883.47 = 775.37/x
3. Step 3: Cross multiply
   1,364.83x = 1,883.47 × 775.37
4. Step 4: Simplify right side
   1,364.83x = 1,460,386.13
5. Step 5: Solve for x
   x = 1,460,386.13/1,364.83
6. Step 6: Final answer
   x = 1,070.01